Finite dimensional modules for multiloop superalgebras of types 𝐴(𝑚,𝑛) and 𝐶(𝑚)

DOI10.1090/S0002-9939-2013-11619-9zbMath1319.17011arXiv1109.3297OpenAlexW2906945652MaRDI QIDQ2845417

Senapathi Eswara Rao

Publication date: 30 August 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.3297

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (8)

On some central operators for loop Lie superalgebras ⋮ Integrable representations of affine \(A(m,n)\) and \(C(m)\) superalgebras ⋮ Finite-dimensional representations of map superalgebras ⋮ Representations of quantum affine superalgebras ⋮ Irreducible modules for equivariant map superalgebras and their extensions ⋮ Equivariant map superalgebras ⋮ Generalized Casimir operators for Lie superalgebras ⋮ Weyl modules for Lie superalgebras

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• On representations of loop algebras
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• Central extensions of Lie superalgebras
• Classification of irreducible integrable modules for multi-loop algebras with finite-dimensional weight spaces

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